Entropy Theory and its Application in Environmental and Water Engineering by Vijay P. Singh

Author:Vijay P. Singh [Singh, Vijay P.]
Language: eng
Format: epub
Publisher: Wiley
Published: 2013-01-10T00:00:00+00:00

8.1.2 Derivation of entropy-based distribution

An increase in the number of constraints leads to less uncertainty about the information concerning the system. Considering the continuous random variable case, the maximum of , subject to the conditions in equation (8.2a) and (8.2b), leads to:

8.4a

where are the Lagrange multipliers. Equation (8.4a) is the entropy-based distribution. Similarly, for discrete ,

8.4b

where are Lagrange multipliers.

8.1.3 Construction of zeroth Lagrange multiplier

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